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Finding the Third Proportional to 648,163 and 933,702

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Solution

The third proportional to 648,163 and 933,702 is: 1,345,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,163 : 933,702 = 933,702 : x
  2. Step 2: Convert to fraction form
    648,163/933,702 = 933,702/x
  3. Step 3: Cross multiply
    648,163x = 933,702 × 933,702
  4. Step 4: Simplify right side
    648,163x = 871,799,424,804
  5. Step 5: Solve for x
    x = 871,799,424,804/648,163
  6. Step 6: Final answer
    x = 1,345,031.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.